DNA序列长程相关的伊辛模型描述
Ising model description of long range correlations in DNA sequences
摘要：
我们使用长程一维伊辛模型来模拟人类DNA序列中核苷酸的长程相关性。我们发现，$10^3$和$10^6$ bp之间的距离的相关性表现出普遍的行为，可以描述的非平均场限制的长范围一维伊辛模型。这使我们能够对DNA链远端部分之间的相互作用的性质做出一些可验证的假设，这种相互作用导致了我们今天在高等真核生物中观察到的DNA结构。
英文摘要：
We model long range correlations of nucleotides in the human DNA sequence using the long range one dimensional Ising model. We show that for distances between $10^3$ and $10^6$ bp the correlations show an universal behaviour and may be described by the non-mean field limit of the long range 1d Ising model. This allows us to make some testable hypothesis on the nature of the interaction between distant portions of the DNA chain which led to the DNA structure that we observe today in higher eukaryotes.
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